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Finding the Fourth Proportional to 22,974.70, 34,462.05 and 8,200.30

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Solution

The fourth proportional to 22,974.70, 34,462.05 and 8,200.30 is: 12,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.70 : 34,462.05 = 8,200.30 : x
  2. Step 2: Convert to fraction form
    22,974.70/34,462.05 = 8,200.30/x
  3. Step 3: Cross multiply
    22,974.70x = 34,462.05 × 8,200.30
  4. Step 4: Simplify right side
    22,974.70x = 282,599,148.62
  5. Step 5: Solve for x
    x = 282,599,148.62/22,974.70
  6. Step 6: Final answer
    x = 12,300.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.